Find the median of the following distribution:
x : 10 12 14 16 18 20
f : 3 5 6 4 4 3
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do the average of the two numbers in the middle that is for x= its 14 and 16 and average is 14+16/2=15 and for y the average is 6+4/2= 5
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MEDIAN:
Median is that value of the given observation which divides it into exactly two parts.
MEDIAN OF A DISCRETE SERIES:
Firstly arrange the given observations in ascending or descending order. Then, prepare a cumulative frequency table. Let n be the total number of observations (sum of frequencies).
i) If n is odd then median= value of [(n+1)/2]th observation
ii) If n is even then median= ½[value of (n/2)th + (n/2 +1) th observations].
CUMULATIVE FREQUENCY:
Cumulative frequency is defined as a consecutive sum of frequencies.
The Cumulative frequency of first observation is the same as its frequency since there is no frequency before it.
SOLUTION IS IN THE ATTACHMENT…
HOPE THIS WILL HELP YOU....
Median is that value of the given observation which divides it into exactly two parts.
MEDIAN OF A DISCRETE SERIES:
Firstly arrange the given observations in ascending or descending order. Then, prepare a cumulative frequency table. Let n be the total number of observations (sum of frequencies).
i) If n is odd then median= value of [(n+1)/2]th observation
ii) If n is even then median= ½[value of (n/2)th + (n/2 +1) th observations].
CUMULATIVE FREQUENCY:
Cumulative frequency is defined as a consecutive sum of frequencies.
The Cumulative frequency of first observation is the same as its frequency since there is no frequency before it.
SOLUTION IS IN THE ATTACHMENT…
HOPE THIS WILL HELP YOU....
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Answer:
median of this data is 14
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